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Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits
The time behavior of DSN (displaced squeezed number state) for a two-dimensional electronic circuit composed of nanoscale elements is investigated using unitary transformation approach. The original Hamiltonian of the system is somewhat complicated. However, through unitary transformation, the Hamil...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3654897/ https://www.ncbi.nlm.nih.gov/pubmed/23320631 http://dx.doi.org/10.1186/1556-276X-8-30 |
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author | Choi, Jeong Ryeol Choi, Byeong Jae Kim, Hyun Deok |
author_facet | Choi, Jeong Ryeol Choi, Byeong Jae Kim, Hyun Deok |
author_sort | Choi, Jeong Ryeol |
collection | PubMed |
description | The time behavior of DSN (displaced squeezed number state) for a two-dimensional electronic circuit composed of nanoscale elements is investigated using unitary transformation approach. The original Hamiltonian of the system is somewhat complicated. However, through unitary transformation, the Hamiltonian became very simple enough that we can easily treat it. By executing inverse transformation for the wave function obtained in the transformed system, we derived the exact wave function associated to the DSN in the original system. The time evolution of the DSN is described in detail, and its corresponding probability density is illustrated. We confirmed that the probability density oscillates with time like that of a classical state. There are two factors that drive the probability density to oscillate: One is the initial amplitude of complementary functions, and the other is the external power source. The oscillation associated with the initial amplitude gradually disappears with time due to the dissipation raised by resistances of the system. These analyses exactly coincide with those obtained from classical state. The characteristics of quantum fluctuations and uncertainty relations for charges and currents are also addressed. |
format | Online Article Text |
id | pubmed-3654897 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Springer |
record_format | MEDLINE/PubMed |
spelling | pubmed-36548972013-05-16 Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits Choi, Jeong Ryeol Choi, Byeong Jae Kim, Hyun Deok Nanoscale Res Lett Nano Express The time behavior of DSN (displaced squeezed number state) for a two-dimensional electronic circuit composed of nanoscale elements is investigated using unitary transformation approach. The original Hamiltonian of the system is somewhat complicated. However, through unitary transformation, the Hamiltonian became very simple enough that we can easily treat it. By executing inverse transformation for the wave function obtained in the transformed system, we derived the exact wave function associated to the DSN in the original system. The time evolution of the DSN is described in detail, and its corresponding probability density is illustrated. We confirmed that the probability density oscillates with time like that of a classical state. There are two factors that drive the probability density to oscillate: One is the initial amplitude of complementary functions, and the other is the external power source. The oscillation associated with the initial amplitude gradually disappears with time due to the dissipation raised by resistances of the system. These analyses exactly coincide with those obtained from classical state. The characteristics of quantum fluctuations and uncertainty relations for charges and currents are also addressed. Springer 2013-01-15 /pmc/articles/PMC3654897/ /pubmed/23320631 http://dx.doi.org/10.1186/1556-276X-8-30 Text en Copyright ©2013 Choi et al.; licensee Springer. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Nano Express Choi, Jeong Ryeol Choi, Byeong Jae Kim, Hyun Deok Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title | Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title_full | Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title_fullStr | Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title_full_unstemmed | Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title_short | Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
title_sort | displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits |
topic | Nano Express |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3654897/ https://www.ncbi.nlm.nih.gov/pubmed/23320631 http://dx.doi.org/10.1186/1556-276X-8-30 |
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